Question

Fig shows a spherical container having a gas inside connected to a mercury manometer. In equilibrium the difference in level of Hg in the two limbs is 24 cm as shown. At mospheric pressure = 76 cm of Hg. What is pressure of gas inside the container? (g = 10 ms^-2)

Answer 1

Let P be the pressure of gas in sheperical enclosure. P₁ = Atmospheric pressure. Consider two points A and B at same level as shown in Fig Obvisouly P_A = P_B . Also P_A = P and P_B = P₁ + Pressure due to 24 cm of Hg column.

∴ P = (0.76 + 0.24) m of Hg column 

= 1 x 13.6 x 10³ x 10 Pa 

= 13.6 x 10⁴ Pa = 136 kPa